In the following sentences, eliminate any double negatives by crossing out incorrect words and writing the correct forms above them if necessary.

Example 1. I couldn’t see $\overset{\textit{\color{#c34632}{anyone}}}{\sout{\text{no one}}}$ around to help me.

She looked for graph paper everywhere in the house, but she didn’t find none.

Find an integrating factor of the form $x^py^q$ and solve.

$$\left(8 x^{2} y^{3}-2 y^{4}\right) d x+\left(5 x^{3} y^{2}-8 x y^{3}\right) d y=0$$

Fertilizer was purchased in large quantities. If 500 tons could be purchased for 3300 dollars, what would be the cost of 350 tons?

According to Freud, dream symbols are typically erotic in nature.

A. True
B. False

Predict the major products of the following reactions, including stereochemistry where appropriate. (a) 2.2.-dimethyloxirane $+\mathrm{H}^{+} / \mathrm{H}_{2}^{18} \mathrm{O}$ (oxygen-labeled water). (b) 2.2-dimethyloxirane+$\mathrm{H}^{18} \mathrm{O}^{-} / \mathrm{H}_{2}^{18} \mathrm{O}$. (c) (2S,3R)-2-ethyl-2,3-dimethyloxirane$+\mathrm{CH}_{3} \mathrm{O}^{-} / \mathrm{CH}_{3} \mathrm{OH}$. (e) (2S,3R)-2-ethyl-2,3-dimethyloxirane$+\mathrm{H}^{+} / \mathrm{CH}_{3} \mathrm{OH}$

Let $V$ be the vector space $C[a, b]$ consisting of all real-valued continuous functions that are defined on $[a, b]$. If $f$ and $g$ are in $V$, let $(f, g)=\int_a^b f(x) g(x) d x$. Show that this function is an inner product on $V$.

Convert the following quantities to the indicated units. Where necessary, round to the nearest hundredth.

$16$ quarts to liters

Solve the compound inequality. Graph the solution set, and write the solution set in interval notation.

$$-3<-2 x+1 \leq 9$$

Who does better? Compare your answer with your partner's answer.

• Qui mange mieux, toi ou ton p$\`e$re ?

In a survey of 100 investors in the stock market, 50 owned shares in IBM, 40 owned shares in AT&T, 45 owned shares in GE, 20 owned shares in both IBM and GE, 15 owned shares in both AT&T and GE, 20 owned shares in both IBM and AT&T, 5 owned shares in all three. How many owned just IBM shares?

Suppose that $\int_{0}^{4} f(x) d x=5 \text { and } \int_{0}^{2} f(x) d x=-3$ and $\int_{0}^{4} g(x) d x=-1$ and $\int_{0}^{2} g(x) d x=2.$ in the following exercise, compute the integrals. $\int_{0}^{2}(3 f(x)-4 g(x)) d x$

A unit step current is applied through a 1-H inductor. The voltage across the inductor is:

$$\begin{array}{ll}{\text { (a) } u(t) \mathrm{V}} & {\text { (b) } \operatorname{sgn}(t) \mathrm{V}} \\ {\text { (c) } e^{-t} u(t) \mathrm{V}} & {\text { (d) } \delta(t) \mathrm{V}}\end{array}$$

Find the given integral.

The indefinite integral of (x^3 + 3x + 4)/(square root of x) dx

Événements spécifiques ou événements habituels?

$$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|l|l|} \hline & & & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline \text { A. événements spécifiques } & & \checkmark & & & & & & & & & & \\ \hline \text { B. événements habituels } & \checkmark & & & & & & & & & & & \\ \hline \end{array}$$

[Je m'arretais/Je me suis arrete] pres du lac ou des enfants

[jouaient/ont joue] dans l'eau.